" is "(1)/(n+4)-(1)/(n-7)=(11)/(30),n!=-4,7

n if (1)/(4l)+(1)/(5!)+(1)/(6!)=(n)/(7!)

underset(n to oo)lim {(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+....+(1)/((3n-2)(3n+1))}=

lim_(n rarr oo)((1)/(1.4)+(1)/(4.7)++(1)/((3n-2)(3n+1))))

Prove the following by using the principle of mathematical induction for all n in N (1)/(1.4)+(1)/(4.7)+ (1)/(7.10)+…….+(1)/((3n -2)(3n+1)) = (n)/(3n+1)

Find the sum of the series : (1)/(1.4)+(1)/(4.7)+(1)/(7.10)+.... to n terms.

Find the sum to n terms of each of the following series : (1)/(1.4) + (1)/(4.7) + (1)/(7.10)+…

If S_(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim_(n rarr oo) S_(n) equals :

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)